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GCF of 396/50, 154/431

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 396/50, 154/431 i.e 22/21550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 396/50, 154/431.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 396/50,154/431?

Given fractions are 396/50,154/431

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 396/50,154/431, numerators are 396,154

Denominators are 50,431

The GCF of 396,154 is 22 .

LCM of 50,431 is 21550.

The greatest common factor of 396/50,154/431 = [GCF of 396,154]/[LCM of 50,431]= 22/21550

Therefore, the GCF of 396/50,154/431 is 22/21550.

Greatest Common Factor of 396,154

To find the highest common factor of 396,154, we have to find the factors of both numbers and list the highest common factor.

The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154

The HCF of 396,154 is 22.

Lets's calculate GCF of 396,154

Greatest Common Factor (GCF) of 396,154 By Common Division

2 396, 154
11 198, 77
18, 7

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 396,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,154 By Matching Biggest Common Factor Method

Now, list down the factors of 396

:

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Now, list down the factors of 154

:

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 396,154 . The biggest common factor number is the GCF number.
So the greatest common factor 396,154 is 22.

Lets's calculate LCM of 50,431

Lowest Common Multiple of 50,431 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 21550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/21550

Therefore, the GCF of Fractions 396/50,154/431 is 22/21550

Least Common Multiple of 50,431 with GCF Formula

Least Common Multiple of 50,431 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 50,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,431) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(50,431) x common factors =1 x 1 = 1

LCM(50,431) = ( 50 × 431 ) / 1

LCM(50,431) = 21550 / 1

LCM(50,431) = 21550


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FAQs on GCF of Fractions of 396/50, 154/431

1. What is the HCF of 396,154?

The HCF of 396,154 is 22

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 396/50, 154/431?

Answer: GCF of Numerators as per given numbers 396/50, 154/431 is

GCF of Numerators i.e. for 396,154 is 22

LCM of denominators i.e. for 50,431 is 21550.

Thus, GCF of Fractions is 22/21550.Finally, GCF of Fractions for 396/50, 154/431 is 22/21550.